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Finding the Fourth Proportional to 195,673.65, 293,548.14 and 83,351.76

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Solution

The fourth proportional to 195,673.65, 293,548.14 and 83,351.76 is: 125,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,673.65 : 293,548.14 = 83,351.76 : x
  2. Step 2: Convert to fraction form
    195,673.65/293,548.14 = 83,351.76/x
  3. Step 3: Cross multiply
    195,673.65x = 293,548.14 × 83,351.76
  4. Step 4: Simplify right side
    195,673.65x = 24,467,754,113.73
  5. Step 5: Solve for x
    x = 24,467,754,113.73/195,673.65
  6. Step 6: Final answer
    x = 125,043.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.